Dimensions of the hallway mural:
L = x + 6, W = x - 2.
An expression is:
A ( hallway mural ) = ( x + 6 ) · ( x - 2 )
If x = 8 ft ( length of each side of the classroom ):
A ( h. m . ) = ( 8 + 6 ) · ( 8 - 2 ) =
= 14 · 6 = 84 ft²
The area of the hallway mural is 84 ft².
<span>The simplest method to do this is with the vector dot
product. Let the vector A = <9i + 5j> with magnitude √106 be the base
diagonal, and B = <5j + 3k> be the diagonal vector on the side, with
magnitude √34. Then cos θ = (A dot B) divided by the product of the magnitudes.
A dot B =30, so
cos θ = 30 / √(34 x 106)</span>
<span> = 0.4997 ==></span>
<span> θ = 49.19° is the
answer</span>
Answer:

Step-by-step explanation:
This inequality is quite simple to solve.
Just multiply both sides by four and you have your answer:


Hope this helps!
Answer: A: 
Step-by-step explanation:
The square root of 3 is an irrational number. It is also known as Theodorus' constant, after Theodorus of Cyrene, who proved its irrationality.